Question

In the figure below, UX and UV are tangent to the circle centered at 0. The segment XV passes through the center of the

circle. Given that UX= 15.7 and XV = 8.5, find XW.
Help

Answer 1

2.5

Explanation:

The computation of the XW is shown below

As triangle UVX is a right angle

So

VU^2 = XU^2 - VX^2

VU^2 = 15.7^2 - 8.5^2

VU^2 = 246.49 - 72.25

VU^2 = 174.24

VU = 13.2

As VU = WX because of same point tangent

NOw XW is

= UX - UW

= 15.7 - 13.2

= 2.5